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Finding the Fourth Proportional to 31,827.46, 47,729.91 and 9,331.88

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Solution

The fourth proportional to 31,827.46, 47,729.91 and 9,331.88 is: 13,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.46 : 47,729.91 = 9,331.88 : x
  2. Step 2: Convert to fraction form
    31,827.46/47,729.91 = 9,331.88/x
  3. Step 3: Cross multiply
    31,827.46x = 47,729.91 × 9,331.88
  4. Step 4: Simplify right side
    31,827.46x = 445,409,939.11
  5. Step 5: Solve for x
    x = 445,409,939.11/31,827.46
  6. Step 6: Final answer
    x = 13,994.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.